Question

Use the Empirical Rule to answer each question. During 1 week an overnight delivery company found that the weights of its parcels were normally distributed, with a mean of 24 ounces and a standard deviation of 6 ounces (a) What percent of the parcels weighed between 12 ounces and 30 ounces? (Round your answer to one decimal place.) (b) What percent of the parcels weighed more than 42 ounces? (Round your answer to two decimal places.) Need Help? Weich T alk to a Tutor

Answer 1

Page No 0 Sollution Given Mean = 24 Sandard deviation - 6 La Percent of the parcels weighted between 12 malu - and 30 ounces X=2, X 2 = 30 7, VI 10-24 = = -2 zz: X2. . 30724 PC -2<z<1) =(Ploca21) + PROC222) -0.3413 +0.4772 = 0.8185 re, Percent of parcels, weighted between. 120dung and 30 ounces = 0.8185° ou 81.85% ie: 81.87

(6) Pagenoa And More than 42 ounces. coresponding Standard Valle is given by z: 4284. Z = 3 Now PC273 = 1 -Plzs 3) P(233) = 1-0.9987 3 0.0013. Percent of the parcus weighed more than 42 ounces = 0.0013 con 0:137] (a) Anseeey = 81.8% (b) Ansuer of = 013%